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Finding the Third Proportional to 236,738,055 and 518,732,430

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Solution

The third proportional to 236,738,055 and 518,732,430 is: 1,136,628,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,738,055 : 518,732,430 = 518,732,430 : x
  2. Step 2: Convert to fraction form
    236,738,055/518,732,430 = 518,732,430/x
  3. Step 3: Cross multiply
    236,738,055x = 518,732,430 × 518,732,430
  4. Step 4: Simplify right side
    236,738,055x = 269,083,333,933,704,896
  5. Step 5: Solve for x
    x = 269,083,333,933,704,896/236,738,055
  6. Step 6: Final answer
    x = 1,136,628,979.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.